Answer:
Therefore F=2.387 hours gives a minimum value of energy expenditure E.
Step-by-step explanation:
Given that,
The energy expended by a bird per day
Differentiating with respect to F
Again differentiating with respect to F
Now set E'=0
Now 
Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.
Therefore F=2.387 hours that minimizes energy expenditure.
<span>Given that triangle
NLM is reflected over the line segment as shown, forming triangle ABC.
When a point is refrected across a line, the relative distance form the point to the line of refrection is preserved. That is the distance from the point to the line of refrection is equal to the distance of the image to the line of refrection.
Thus, from the figure, it can be seen the point B is of the same distance to the line of refrection as point M, so is point A to point L and point C to point N.
Thus, </span><span>ΔNLM is similar to </span><span><span>ΔCAB
Therefore, the</span> congruency statement that is correct is ΔNLM ≅ ΔCAB</span>
Area=legnth times width=31
the frame must go around the frame with equal legnth, x
so
the total area (meaning the frame +picture) is 5+x by 6+x
31=(5+x)(6+x)
expand
31=30+11x+x^2
minus 31 both sides
0=-1+11x+x^2
x^2+11x-1=0
answer is third one
Answer:
The histogram of the data is attached below.
Step-by-step explanation:
A histogram is a demonstration of statistical data that uses bars to illustrate the incidence of data values in successive numerical intervals of same size. In the most basic form of histogram, the independent variable is marked along the x-axis and the dependent variable is marked along the y-axis.
The data provided is:
X Frequency
1 12
2 3
3 7
4 9
5 18
6 14
The histogram of the data is attached below.
Let me help you visualize this one.
Let's say we have 12 chickens.
OOOOOOOOOOOO
We divide this group in half (1/2 who tried to cross the road.)
OOOOOO
And here, we need to get 3/4 of the 6 left.
3/4 can be represented as 0.75 of 1.
6 times 0.75 equals to 4.5.
OOOOC (Woah, that chicken is split in half!)
What fraction is 4.5 of the original amount?
Well, that's for you to find out! Good luck in solving this question.
